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The image you've provided covers two examples explaining how to find square roots, both positive and negative. Let's break down each example:

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### **Example 2: Find Both Square Roots**
The task here is to simplify ±√1.21.

1. **Step 1:**
   - Since there is an even number of decimal places (2 in 1.21), you can consider the square root of 121 (which is 1.21 without the decimal point). The square root of 121 is **11**.

2. **Step 2:**
   - Now, place the decimal point in the answer. Since 1.21 has two decimal places, the square root must have half that number, i.e., **1 decimal place**.
   - So, the square root of 1.21 is **1.1**, and the answer for ±√1.21 is ±1.1.

3. **Check:**
   - They ask you to verify by simplifying ±√1.44, which follows a similar process. The square root of 1.44 is ±1.2.

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### **Example 3: Find Negative Square Roots**
The task is to simplify -√(25/36).

1. **Step 1:**
   - Find the square root of 25/36. 
   - The square root of 25 is **5**, and the square root of 36 is **6**.
   - Thus, √(25/36) = **5/6**.

2. **Step 2:**
   - Since you're asked to find the negative square root, the answer is **-5/6**.

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### Tip:
When simplifying square roots, remember that a positive square root is the principal root, but the ± symbol means you are considering both the positive and negative roots.

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Would you like further details on this? Here are five related questions to consider:

1. What are the square roots of other numbers like 2.25 or 9.61?
2. Why is the square root of a fraction found by taking the square root of the numerator and denominator separately?
3. How do you determine where to place the decimal point in square root problems?
4. Why does the square root of a number involve two solutions (±)?
5. How do negative square roots work when the base number is a fraction?

Tip: When dealing with square roots of decimals, always check if you can express the number as a fraction for easier computation!

How do you find both square roots and negative square roots for decimal numbers and fractions, as shown in the examples for ±√1.21 and -√(25/36)?

Learn how to find both the positive and negative square roots for decimal numbers like ±√1.21 and fractions like -√(25/36) using step-by-step methods. Understand the placement of decimal points in square roots and how to handle negative square roots of fractions. Suitable for students in Grades 8-10.

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